This is a friend's blog post about sailing from Shilshole to Poulsbo in close to zero winds using the currents:
Bob Hall's Blog: Sailing to Poulsbo
His 30' boat is motorless and much heavier (10,000lbs vs 3,400lbs) than yours, to give you context.
I find that we could get the Catalina 25 moving at about just under half the speed of the wind pretty easily (so 1.5 to 2 knots in 4 knots of wind). We've sailed it in 2mph winds and the boat moves along, but it's not too exciting. There are tricks to learn for light air sailing, such as sitting on the leeward side to put shape into the sails when the wind won't do it for you. Also try using the topping lift to lift the boom if your main sail is too flat. Learn how to adjust the jib cars for the same purpose. The Catalina has a new main sail, which helps, but a very heavy genoa, which hurts.
My Pearson doesn't move quite as easily in light airs, but we can get her moving too. Mostly it's harder to force shape into the sails by moving body weight around since the boat weighs 7000lbs instead of 4000lbs.
If you need to get somewhere sometimes you'll just need to motor. Last year I sailed in one direction across the Strait with 15-20knot sustained winds and made great time. In the other direction we had pure glass water and mostly motored.
I'm going sailing on Lake Union this afternoon in very light air, and really looking forward to it. It's not as fun as sailing in 15 knot winds, but it's still a lot of fun. I have a greater sense of accomplishment in making a boat move nicely in light air than I do in sailing the boat in 10kt winds (when everything is easy).
If you have nothing better to do then get out on the water and enjoy it. People pay lots of money to sit outside in the sun on a private island. You can do it anytime you want.